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- Title
Advances in High-Order Sensitivity Analysis for Uncertainty Quantification and Reduction in Nuclear Energy Systems.
- Authors
Cacuci, Dan Gabriel
- Abstract
10.3390/en13061431 14 Fang R., Cacuci D.G. Comprehensive second-order adjoint sensitivity analysis methodology (2nd-ASAM) applied to a subcritical experimental reactor physics benchmark: V. Computation of 2nd-order sensitivities involving isotopic number densities. Higher-order sensitivities have also been incorporated into a predictive modeling formalism [[17]], which combines experimental and computational information in the joint phase-space of responses and model parameters, including not only the 1st-order response sensitivities, but also the complete hessian matrix of 2nd-order second-sensitivities and also the 3rd-order sensitivities. 2006 17 Cacuci D.G. Towards overcoming the curse of dimensionality: The third-order adjoint method for sensitivity analysis of response-coupled linear forward/adjoint systems, with applications to uncertainty quantification and predictive modeling. Each successively higher-order sensitivities are computed using the same principles as used for computing the 2nd-order sensitivities, i.e., the computation of the 3rd-order sensitivities can be prioritized by using the magnitudes/importances of the 1st-order and 2nd-order sensitivities as guiding indicators, and so on.
- Subjects
NEUTRON transport theory; NUCLEAR energy; SENSITIVITY analysis; REDUCED-order models; BOILING water reactors; BOLTZMANN'S equation; NONLINEAR functional analysis; ADJOINT differential equations
- Publication
Energies (19961073), 2022, Vol 15, Issue 17, p6466
- ISSN
1996-1073
- Publication type
Article
- DOI
10.3390/en15176466